{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda3\\lib\\site-packages\\statsmodels\\compat\\pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
      "  from pandas.core import datetools\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import pandas_datareader\n",
    "import datetime\n",
    "import matplotlib.pylab as plt\n",
    "import seaborn as sns\n",
    "from matplotlib.pylab import style\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "\n",
    "style.use('ggplot')    \n",
    "plt.rcParams['font.sans-serif'] = ['SimHei'] \n",
    "plt.rcParams['axes.unicode_minus'] = False  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>Adj Close</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>6.498</td>\n",
       "      <td>6.603</td>\n",
       "      <td>6.498</td>\n",
       "      <td>6.548</td>\n",
       "      <td>0</td>\n",
       "      <td>6.548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>6.530</td>\n",
       "      <td>6.548</td>\n",
       "      <td>6.485</td>\n",
       "      <td>6.485</td>\n",
       "      <td>0</td>\n",
       "      <td>6.485</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>6.521</td>\n",
       "      <td>6.599</td>\n",
       "      <td>6.508</td>\n",
       "      <td>6.599</td>\n",
       "      <td>0</td>\n",
       "      <td>6.599</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>6.558</td>\n",
       "      <td>6.585</td>\n",
       "      <td>6.540</td>\n",
       "      <td>6.549</td>\n",
       "      <td>0</td>\n",
       "      <td>6.549</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>6.545</td>\n",
       "      <td>6.595</td>\n",
       "      <td>6.504</td>\n",
       "      <td>6.504</td>\n",
       "      <td>0</td>\n",
       "      <td>6.504</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>6.540</td>\n",
       "      <td>6.567</td>\n",
       "      <td>6.536</td>\n",
       "      <td>6.558</td>\n",
       "      <td>0</td>\n",
       "      <td>6.558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-11</th>\n",
       "      <td>6.600</td>\n",
       "      <td>6.664</td>\n",
       "      <td>6.595</td>\n",
       "      <td>6.664</td>\n",
       "      <td>0</td>\n",
       "      <td>6.664</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-12</th>\n",
       "      <td>6.659</td>\n",
       "      <td>6.696</td>\n",
       "      <td>6.645</td>\n",
       "      <td>6.696</td>\n",
       "      <td>0</td>\n",
       "      <td>6.696</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-13</th>\n",
       "      <td>6.664</td>\n",
       "      <td>6.705</td>\n",
       "      <td>6.618</td>\n",
       "      <td>6.618</td>\n",
       "      <td>0</td>\n",
       "      <td>6.618</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-14</th>\n",
       "      <td>6.623</td>\n",
       "      <td>6.688</td>\n",
       "      <td>6.563</td>\n",
       "      <td>6.674</td>\n",
       "      <td>0</td>\n",
       "      <td>6.674</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Open   High    Low  Close  Volume  Adj Close\n",
       "Date                                                     \n",
       "2000-01-03  6.498  6.603  6.498  6.548       0      6.548\n",
       "2000-01-04  6.530  6.548  6.485  6.485       0      6.485\n",
       "2000-01-05  6.521  6.599  6.508  6.599       0      6.599\n",
       "2000-01-06  6.558  6.585  6.540  6.549       0      6.549\n",
       "2000-01-07  6.545  6.595  6.504  6.504       0      6.504\n",
       "2000-01-10  6.540  6.567  6.536  6.558       0      6.558\n",
       "2000-01-11  6.600  6.664  6.595  6.664       0      6.664\n",
       "2000-01-12  6.659  6.696  6.645  6.696       0      6.696\n",
       "2000-01-13  6.664  6.705  6.618  6.618       0      6.618\n",
       "2000-01-14  6.623  6.688  6.563  6.674       0      6.674"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stockFile = 'data/T10yr.csv'\n",
    "stock = pd.read_csv(stockFile, index_col=0, parse_dates=[0])\n",
    "stock.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "stock_week = stock['Close'].resample('W-MON').mean()\n",
    "stock_train = stock_week['2000':'2015']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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mpNQFVH09rq0vxvZ2TwmoVFUrdR5cUn9/7UCfm5m3ZsPEwQ1bqaAC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gUoFCCWWDlDywuobC0CKj80rFT5tlPxxPqVuc3EW6dJJkvVwpXmUGUmYXERvCH2IiIi0r4UUIkE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\nLofCAa5E2lp378rr1UKh2YJ7497pvdGeq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      "text/plain": [
       "<matplotlib.figure.Figure at 0x280271b5198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stock_train.plot(figsize=(12,8))\n",
    "plt.legend(bbox_to_anchor=(1.25, 0.5))\n",
    "plt.title(\"Stock Close\")\n",
    "sns.despine()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sDJN1ISlvTY3JJCywUWl3U0RYEDeyzpqFWj6wUVtISvYYT7rUtaZubuSDF8Kl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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x28027000e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stock_diff = stock_train.diff()\n",
    "stock_diff = stock_diff.dropna()\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(stock_diff)\n",
    "plt.title('一阶差分')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda3\\lib\\site-packages\\matplotlib\\figure.py:397: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
      "  \"matplotlib is currently using a non-GUI backend, \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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QbJckKSHBrtTUS89nMQzDCGSBL7/8snp7e7V8+XLftEceeUTr169XSkrKkG1+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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x280271b55f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf = plot_acf(stock_diff, lags=20)\n",
    "plt.title(\"ACF\")\n",
    "acf.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda3\\lib\\site-packages\\matplotlib\\figure.py:397: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
      "  \"matplotlib is currently using a non-GUI backend, \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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5+YqPj/fbIYf4+HjPrdVq9UufCAyz2cwYhTjGKDwwTuHB3+NkMBgkSSUlJWpoaPB6bPbs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\nAABI+v/LU1JBMFaYqQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x28023f97588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pacf = plot_pacf(stock_diff, lags=20)\n",
    "plt.title(\"PACF\")\n",
    "pacf.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "model = ARIMA(stock_train, order=(1, 1, 1),freq='W-MON')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "result = model.fit()\n",
    "#print(result.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2014-06-09    2.463559\n",
      "2014-06-16    2.455539\n",
      "2014-06-23    2.449569\n",
      "2014-06-30    2.444183\n",
      "2014-07-07    2.438962\n",
      "2014-07-14    2.433788\n",
      "2014-07-21    2.428627\n",
      "2014-07-28    2.423470\n",
      "2014-08-04    2.418315\n",
      "2014-08-11    2.413159\n",
      "2014-08-18    2.408004\n",
      "2014-08-25    2.402849\n",
      "2014-09-01    2.397693\n",
      "2014-09-08    2.392538\n",
      "2014-09-15    2.387383\n",
      "2014-09-22    2.382227\n",
      "2014-09-29    2.377072\n",
      "2014-10-06    2.371917\n",
      "2014-10-13    2.366761\n",
      "2014-10-20    2.361606\n",
      "2014-10-27    2.356451\n",
      "2014-11-03    2.351296\n",
      "2014-11-10    2.346140\n",
      "2014-11-17    2.340985\n",
      "2014-11-24    2.335830\n",
      "2014-12-01    2.330674\n",
      "2014-12-08    2.325519\n",
      "2014-12-15    2.320364\n",
      "2014-12-22    2.315208\n",
      "2014-12-29    2.310053\n",
      "                ...   \n",
      "2015-12-07    2.057443\n",
      "2015-12-14    2.052288\n",
      "2015-12-21    2.047132\n",
      "2015-12-28    2.041977\n",
      "2016-01-04    2.036822\n",
      "2016-01-11    2.031666\n",
      "2016-01-18    2.026511\n",
      "2016-01-25    2.021356\n",
      "2016-02-01    2.016200\n",
      "2016-02-08    2.011045\n",
      "2016-02-15    2.005890\n",
      "2016-02-22    2.000735\n",
      "2016-02-29    1.995579\n",
      "2016-03-07    1.990424\n",
      "2016-03-14    1.985269\n",
      "2016-03-21    1.980113\n",
      "2016-03-28    1.974958\n",
      "2016-04-04    1.969803\n",
      "2016-04-11    1.964647\n",
      "2016-04-18    1.959492\n",
      "2016-04-25    1.954337\n",
      "2016-05-02    1.949181\n",
      "2016-05-09    1.944026\n",
      "2016-05-16    1.938871\n",
      "2016-05-23    1.933716\n",
      "2016-05-30    1.928560\n",
      "2016-06-06    1.923405\n",
      "2016-06-13    1.918250\n",
      "2016-06-20    1.913094\n",
      "2016-06-27    1.907939\n",
      "Freq: W-MON, Length: 108, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "pred = result.predict('20140609', '20160701',dynamic=True, typ='levels')\n",
    "print (pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x28025665278>]"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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L4K4rMlRZQsnsLJCKmwAxLH9pwwvuutqfX89KuT4Uv8HMnYiIBiyWwR0AMpocZOTbETcB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\nImowmsHdD9TLERY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jCTXYFidUTAdn12p43EyqfwdORF3p+Eo8OTmJ6enp4L9k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\nGPP/ATYi5e4nvfZAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2802705fef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 6))\n",
    "plt.xticks(rotation=45)\n",
    "plt.plot(pred)\n",
    "plt.plot(stock_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
